"Dimension W" is a science fiction manga series set in a future where humanity has harnessed the power of a fourth-dimensional energy source known as "Coils." These Coils, discovered in the titular Dimension W, revolutionized technology and society, replacing traditional energy sources. However, the unchecked proliferation of Coils has led to societal disparities and illegal activities, including the creation of unauthorized Coils and the emergence of dangerous "Numbers," advanced androids powered by Coils.

The protagonist, Kyouma Mabuchi, is a gruff and resourceful "Collector," a bounty hunter who retrieves illegal Coils. Unlike most people, Kyouma despises Coils and refuses to use them, relying instead on his physical prowess and combat skills. His disdain stems from a personal tragedy tied to the technology. During a mission, Kyouma crosses paths with Mira Yurizaki, a highly advanced android with a human-like consciousness. Mira is one of the "Numbers," created by Dr. Yurizaki, a scientist who mysteriously disappeared. Despite her origins, Mira exhibits a childlike innocence and a desire to understand humanity.

Kyouma reluctantly partners with Mira, and together they uncover a conspiracy involving the New Tesla Energy Corporation, the primary distributor of Coils. The corporation's shadowy operations include experiments with Dimension W and the creation of illegal Numbers. As Kyouma and Mira delve deeper, they encounter a range of adversaries, including other Collectors, rogue Numbers, and corporate enforcers. The narrative explores themes of identity, morality, and the consequences of technological advancement, as Kyouma and Mira confront their pasts and the ethical dilemmas surrounding Coils.

The story is driven by a mix of action, mystery, and character development, with Kyouma's hardened exterior gradually softening through his interactions with Mira. Their partnership becomes central to unraveling the mysteries of Dimension W and the true nature of Coils. The series balances episodic missions with an overarching plot, culminating in revelations about the origins of Dimension W and its connection to humanity's future. The dynamic between Kyouma and Mira, along with the intricate world-building, forms the core of the narrative, offering a compelling exploration of a technologically advanced yet morally complex world.